The divisibility of by powers of .
Győry, Kálmán, Smyth, Chris (2010)
Integers
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Győry, Kálmán, Smyth, Chris (2010)
Integers
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Müller, Tom (2010)
Journal of Integer Sequences [electronic only]
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Zhou, Weiyi, Zhu, Long (2009)
Integers
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Rowland, Eric S. (2008)
Journal of Integer Sequences [electronic only]
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Granville, Andrew, Selfridge, J. L. (2002)
The Electronic Journal of Combinatorics [electronic only]
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Mazur, Marcin (2006)
Integers
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Chen, Yong-Gao, Fang, Jin-Hui (2008)
Integers
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Gupta, Ankit, Sury, S. (2005)
Integers
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Martin, Harold W. (2007)
Integers
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Dubner, Harvey, Forbes, Tony (2001)
Journal of Integer Sequences [electronic only]
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Andrzej Rotkiewicz (2005)
Acta Mathematica Universitatis Ostraviensis
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We use the properties of -adic integrals and measures to obtain general congruences for Genocchi numbers and polynomials and tangent coefficients. These congruences are analogues of the usual Kummer congruences for Bernoulli numbers, generalize known congruences for Genocchi numbers, and provide new congruences systems for Genocchi polynomials and tangent coefficients.